1100211212129 has 2 divisors, whose sum is σ = 1100211212130. Its totient is φ = 1100211212128.

The previous prime is 1100211212069. The next prime is 1100211212273. The reversal of 1100211212129 is 9212121120011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 801929205025 + 298282007104 = 895505^2 + 546152^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100211212129 - 2⁸ = 1100211211873 is a prime.

It is a super-2 number, since 2×1100211212129² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1100211212329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550105606064 + 550105606065.

It is an arithmetic number, because the mean of its divisors is an integer number (550105606065).

Almost surely, 2^{1100211212129} is an apocalyptic number.

It is an amenable number.

1100211212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100211212129 is an equidigital number, since it uses as much as digits as its factorization.

1100211212129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 1100211212129 in words is "one trillion, one hundred billion, two hundred eleven million, two hundred twelve thousand, one hundred twenty-nine".